DX lens on a DX body?

Hi! My question is: If I have a Nikon D3300 (DX format camera) with a 18-55 mm kit lens (DX lens), do the crop factor (1,5x) apply here? I mean I know that, if I would use a FX lens on my camera the crop factor would apply, but since I've got a DX lens does it mean I get the same focal length as it's written on the lens? Or the crop factor apply to the DX lens to? (Sorry for overcomplicating the question)